According to Louie Helm eradicating a species of mosquitoes could be done for as little as a few million dollar.
I don't have a few million dollar lying around so I can't spend my own money to do it. On the other hand, I think that on average every German citizen would be quite willing to pay 1€ per year to rid Germany of mosquitoes that bite humans.
That means it's a problem of public action. The German government should spend 80 million Euro to rid Germany of Mosquitos. That's an order of magnitude higher than the numbers quoted by Louie Helm).
The same goes basically for every country or state with mosquitos.
How could we get a government to do this without spending too much money ourselves? The straight forward way is writing a petition. We could host a website and simultaneously post a petition to every relevant parliament on earth.
How do we get attention for the petition? Facebook. People don't like Mosquitos and should be willing to file an internet petition to get rid of them. I would believe this to spread virally. The idea seems interesting enough to get journalists to write articles about it.
Bonus points:
After we have eradicated human biting mosquitoes from our homelands it's quite straightforward to export the technology to Africa.
Does anyone see any issues with that plan?
This is a good point - in fact, a distinction is usually drawn between "nuisance" and "disease vector" mosquito control (they can involve very different operations), and I've heard very knowledgeable people say that the only way to maintain public support for a control program is if there's a strong nuisance component. You may be right on this, but note that I never contended otherwise (albopictus is both an efficient disease vector and a major nuisance).
Oh sure, but that's not eradication! There are lots of mosquito population suppression programs around the world, many paid for with public funds (particularly in areas with lots of outdoor tourism and a strong local business influence in municipal politics). Programs like this work at even vastly sub-country spatial scales, but as you say you need to keep doing them year in year out. Part of the beauty of eradication is no longer needing ongoing investment.
Good!
Well, species distribution maps are notoriously tricky to get right, but suppose it's right. The beauty of albopictus as a target is it's a highly invasive species, happy to set up shop anywhere a little pot of water with some organic residue can be found (and perhaps an annual mean temperature >11C, though I'm not convinced by the data on this). I would imagine Germany is at risk of invasion, which is an awesome opportunity for activism - (almost) no one minds local eradication of an invasive species!